Implemented an SNR for audio files which takes into a account the 
psychoacoustic masking. This results in an SNR which is closer to how humans 
percieve sound, compared to tiny_psnr which directly compares audio signals

Signed-off-by: Senjuti Kundu <senjutikund...@gmail.com>
---
 tests/psy_snr.c | 421 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 421 insertions(+)
 create mode 100644 tests/psy_snr.c

diff --git a/tests/psy_snr.c b/tests/psy_snr.c
new file mode 100644
index 0000000..94041ed
--- /dev/null
+++ b/tests/psy_snr.c
@@ -0,0 +1,421 @@
+/*
+ * Copyright (c) 2003 Michael Niedermayer <michae...@gmx.at>
+ *
+ * This file is part of FFmpeg.
+ *
+ * FFmpeg is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * FFmpeg is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with FFmpeg; if not, write to the Free Software
+ * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
+ */
+
+/*
+ * Psy-SNR - Psychoacoustic SNR for audio files.
+ * Author - Senjuti Kundu <senjutikund...@gmail.com>
+ * Input format - tiny_psysnr <file1> <file2>
+ *              [<elem size>|u8|s16|f32|f64 [<shift> [<skip bytes> [<shift 
search range>]]]]
+ * WAV headers are skipped automatically.
+ * SIZE can be changed to adjust window size as need be.
+ * compile using gcc psysnr.c $(pkg-config --cflags --libs libavformat 
libavcodec)
+ * -I /usr/local/include/libavcodec/
+ */
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <inttypes.h>
+#include <math.h>
+#include <float.h>
+#include <limits.h>
+
+#include "libavutil/intfloat.h"
+#include "libavutil/intreadwrite.h"
+#include "libavcodec/avfft.h"
+#include "libavutil/mem.h"
+
+#define FFMIN(a, b) ((a) > (b) ? (b) : (a))
+#define FFMAX(a, b) ((a) > (b) ? (a) : (b))
+#define F 100
+//size should be close to 20k
+#define SIZE 1024
+#define db_fw_rollof 4
+#define db_bw_rollof 4
+#define db_attenuation 0.1
+
+uint64_t exp16_table[21] = {
+           65537,
+           65538,
+           65540,
+           65544,
+           65552,
+           65568,
+           65600,
+           65664,
+           65793,
+           66050,
+           66568,
+           67616,
+           69763,
+           74262,
+           84150,
+          108051,
+          178145,
+          484249,
+         3578144,
+       195360063,
+    582360139072LL,
+};
+
+#if 0
+// 16.16 fixpoint exp()
+static unsigned int exp16(unsigned int a){
+    int i;
+    int out= 1<<16;
+
+    for(i=19;i>=0;i--){
+        if(a&(1<<i))
+            out= (out*exp16_table[i] + (1<<15))>>16;
+    }
+
+    return out;
+}
+#endif
+
+// 16.16 fixpoint log()
+static int64_t log16(uint64_t a)
+{
+    int i;
+    int out = 0;
+
+    if (a < 1 << 16)
+        return -log16((1LL << 32) / a);
+    a <<= 16;
+
+    for (i = 20; i >= 0; i--) {
+        int64_t b = exp16_table[i];
+        if (a < (b << 16))
+            continue;
+        out |= 1 << i;
+        a    = ((a / b) << 16) + (((a % b) << 16) + b / 2) / b;
+    }
+    return out;
+}
+
+static uint64_t int_sqrt(uint64_t a)
+{
+    uint64_t ret    = 0;
+    uint64_t ret_sq = 0;
+    int s;
+
+    for (s = 31; s >= 0; s--) {
+        uint64_t b = ret_sq + (1ULL << (s * 2)) + (ret << s) * 2;
+        if (b <= a) {
+            ret_sq = b;
+            ret   += 1ULL << s;
+        }
+    }
+    return ret;
+}
+
+static int16_t get_s16l(uint8_t *p)
+{
+    union {
+        uint16_t u;
+        int16_t  s;
+    } v;
+    v.u = p[0] | p[1] << 8;
+    return v.s;
+}
+
+static float get_f32l(uint8_t *p)
+{
+    union av_intfloat32 v;
+    v.i = p[0] | p[1] << 8 | p[2] << 16 | p[3] << 24;
+    return v.f;
+}
+
+static double get_f64l(uint8_t *p)
+{
+    return av_int2double(AV_RL64(p));
+}
+
+static float* get_mask_array(int tempsize){
+    //modelling the mask function as a parabole. Others can be
+    //explored as need be. y=(-(x-mid)2+c)/c
+    int i = 0;
+    float* maskingfunc = malloc(tempsize*sizeof(float));
+    maskingfunc[tempsize/2] = exp(-db_attenuation*log(10));
+    for (i = (tempsize/2)+1; i<tempsize; i++){
+        maskingfunc[i] = 
maskingfunc[i-1]*exp(-(db_fw_rollof*log(10))/(20*(i-(tempsize/2))));;
+    }
+    for(i = (tempsize/2)-1; i >= 0; i--){
+        maskingfunc[i] = 
maskingfunc[i+1]*exp(-(2*db_bw_rollof*log(10))/(20*((tempsize/2)-i)));
+    }
+    return maskingfunc;
+}
+
+static float* get_mask(FFTComplex* a, int tempsize, float* maskingfunc){
+    int i = 0;
+    int j = 0;
+    float* mask = malloc(tempsize*sizeof(float));
+    float self = 0;
+    float next = 0;
+    float prev = 0;
+
+    for (i = 1; i<tempsize; i++){
+        self = 
maskingfunc[tempsize/2]*sqrt((a[i].re*a[i].re)+(a[i].im*a[i].im));
+        prev = 
maskingfunc[(tempsize/2)-1]*sqrt((a[i-1].re*a[i-1].re)+(a[i-1].im*a[i-1].im));
+        mask[i] = FFMAX(self,prev);
+    }
+    for (i = tempsize-1; i>=0; i--){
+        self = 
maskingfunc[tempsize/2]*sqrt((a[i].re*a[i].re)+(a[i].im*a[i].im));
+        next = 
maskingfunc[tempsize/2+1]*sqrt((a[i+1].re*a[i+1].re)+(a[i+1].im*a[i+1].im));
+        mask[i] = FFMAX(self,next);
+    }
+    return mask;
+}
+
+static double get_psy_sse(FFTComplex* a,FFTComplex* b, float* mask, int 
tempsize){
+    int i = 0;
+    double sse = 0;
+    for (i = 0; i<tempsize; i++){
+       sse += (sqrt(((a[i].re-b[i].re)*(a[i].re-b[i].re))+
+                ((a[i].im-b[i].im)*(a[i].im-b[i].im))))/(mask[i]+1);
+    }
+    return sse;
+}
+
+static int run_psnr(FILE *f[2], int len, int shift, int skip_bytes)
+{
+    int i, j;
+    uint64_t sse = 0;
+    double sse_d = 0.0;
+    uint8_t buf[2][SIZE];
+    int64_t max    = (1LL << (8 * len)) - 1;
+    int size0      = 0;
+    int size1      = 0;
+    uint64_t maxdist = 0;
+    double maxdist_d = 0.0;
+    int noseek;
+
+
+    noseek = fseek(f[0], 0, SEEK_SET) ||
+             fseek(f[1], 0, SEEK_SET);
+
+    if (!noseek) {
+        for (i = 0; i < 2; i++) {
+            uint8_t *p = buf[i];
+            if (fread(p, 1, 12, f[i]) != 12)
+                return 1;
+            if (!memcmp(p, "RIFF", 4) &&
+                !memcmp(p + 8, "WAVE", 4)) {
+                if (fread(p, 1, 8, f[i]) != 8)
+                    return 1;
+                while (memcmp(p, "data", 4)) {
+                    int s = p[4] | p[5] << 8 | p[6] << 16 | p[7] << 24;
+                    fseek(f[i], s, SEEK_CUR);
+                    if (fread(p, 1, 8, f[i]) != 8)
+                        return 1;
+                }
+            } else {
+                fseek(f[i], -12, SEEK_CUR);
+            }
+        }
+
+        fseek(f[shift < 0], abs(shift), SEEK_CUR);
+
+        fseek(f[0], skip_bytes, SEEK_CUR);
+        fseek(f[1], skip_bytes, SEEK_CUR);
+    }
+
+    fflush(stdout);
+    for (;;) {
+        int s0 = fread(buf[0], 1, SIZE, f[0]);
+        int s1 = fread(buf[1], 1, SIZE, f[1]);
+        int tempsize = FFMIN(s0,s1);
+        DECLARE_ALIGNED(32, FFTComplex, fftcomplexa)[SIZE/len];
+        DECLARE_ALIGNED(32, FFTComplex, fftcomplexb)[SIZE/len];
+
+        for (j = 0; j < tempsize; j += len) {
+            switch (len) {
+            case 1:
+            case 2: {
+                int64_t a = buf[0][j];
+                int64_t b = buf[1][j];
+                int dist;
+                if (len == 2) {
+                    fftcomplexa[j/len].re = get_s16l(buf[0] + j);
+                    fftcomplexb[j/len].re = get_s16l(buf[1] + j);
+                    fftcomplexa[j/len].im = 0;
+                    fftcomplexb[j/len].im = 0;
+                } else {
+                    fftcomplexa[j/len].re = buf[0][j];
+                    fftcomplexb[j/len].re = buf[1][j];
+                    fftcomplexa[j/len].im = 0;
+                    fftcomplexb[j/len].im = 0;
+                }
+                dist = abs(fftcomplexa[j/len].re-fftcomplexb[j/len].re);
+                if (dist > maxdist)
+                    maxdist = dist;
+                break;
+                break;
+            }
+            case 4:
+            case 8: {
+                double dist, a, b;
+                if (len == 8) {
+                    fftcomplexa[j/len].re = (float) get_f64l(buf[0] + j);
+                    fftcomplexb[j/len].re = (float) get_f64l(buf[1] + j);
+                    fftcomplexa[j/len].im = 0;
+                    fftcomplexb[j/len].im = 0;
+                } else {
+                    fftcomplexa[j/len].re = (float) get_f32l(buf[0] + j);
+                    fftcomplexb[j/len].re = (float) get_f32l(buf[1] + j);
+                    fftcomplexa[j/len].im = 0;
+                    fftcomplexb[j/len].im = 0;
+                }
+                dist = abs(fftcomplexa[j/len].re-fftcomplexb[j/len].re);
+                if (dist > maxdist_d)
+                    maxdist_d = dist;
+                break;
+            }
+            }
+        }
+
+        for(;j<SIZE;j+=len){
+            fftcomplexa[j/len].re = 0;
+            fftcomplexb[j/len].re = 0;
+            fftcomplexa[j/len].im = 0;
+            fftcomplexb[j/len].im = 0;
+        }
+
+        size0 += s0;
+        size1 += s1;
+        if (s0 + s1 <= 0)
+            break;
+
+        FFTContext* fftcontexta = av_fft_init(floor(log2(SIZE/len)),0);
+        av_fft_permute (fftcontexta, fftcomplexa);
+        int temp = 0;
+        av_fft_calc (fftcontexta, fftcomplexa);
+        FFTContext* fftcontextb = av_fft_init(floor(log2(SIZE/len)),0);
+        av_fft_permute (fftcontextb, fftcomplexb);
+        av_fft_calc (fftcontextb, fftcomplexb);
+
+        float* maskingfunc = get_mask_array(SIZE/len);
+        float* mask = get_mask(fftcomplexa, SIZE/len, maskingfunc);
+        double psysse = get_psy_sse(fftcomplexa,fftcomplexb, mask, SIZE/len);
+        free(maskingfunc);
+        free(mask);
+        sse+=psysse;
+        sse_d+=psysse;
+    }
+
+    fflush(stdout);
+    i = FFMIN(size0, size1) / len;
+    if (!i)
+        i = 1;
+
+    switch (len) {
+    case 1:
+    case 2: {
+        uint64_t psnr;
+        uint64_t dev = int_sqrt(((sse / i) * F * F) + (((sse % i) * F * F) + i 
/ 2) / i);
+        if (sse)
+            psnr = ((2 * log16(max << 16) + log16(i) - log16(sse)) *
+                    284619LL * F + (1LL << 31)) / (1LL << 32);
+        else
+            psnr = 1000 * F - 1; // floating point free infinity :)
+
+        printf("stddev:%5d.%02d PSYSNR:%3d.%02d MAXDIFF:%5"PRIu64" 
bytes:%9d/%9d\n",
+               (int)(dev / F), (int)(dev % F),
+               (int)(psnr / F), (int)(psnr % F),
+               maxdist, size0, size1);
+        return psnr;
+        }
+    case 4:
+    case 8: {
+        char psnr_str[64];
+        double psnr = INT_MAX;
+        double dev = sqrt(sse_d / i);
+        uint64_t scale = (len == 4) ? (1ULL << 24) : (1ULL << 32);
+
+        if (sse_d) {
+            psnr = 2 * log(DBL_MAX) - log(i / sse_d);
+            snprintf(psnr_str, sizeof(psnr_str), "%5.02f", psnr);
+        } else
+            snprintf(psnr_str, sizeof(psnr_str), "inf");
+
+        maxdist = maxdist_d * scale;
+
+        printf("stddev:%10.2f PSYSNR:%s MAXDIFF:%10"PRIu64" bytes:%9d/%9d\n",
+               dev * scale, psnr_str, maxdist, size0, size1);
+        return psnr;
+    }
+    }
+    return -1;
+}
+
+int main(int argc, char *argv[])
+{
+    FILE *f[2];
+    int len = 1;
+    int shift_first= argc < 5 ? 0 : atoi(argv[4]);
+    int skip_bytes = argc < 6 ? 0 : atoi(argv[5]);
+    int shift_last = shift_first + (argc < 7 ? 0 : atoi(argv[6]));
+    int shift;
+    int max_psnr   = -1;
+    int max_psnr_shift = 0;
+
+    if (argc > 3) {
+        if (!strcmp(argv[3], "u8")) {
+            len = 1;
+        } else if (!strcmp(argv[3], "s16")) {
+            len = 2;
+        } else if (!strcmp(argv[3], "f32")) {
+            len = 4;
+        } else if (!strcmp(argv[3], "f64")) {
+            len = 8;
+        } else {
+            char *end;
+            len = strtol(argv[3], &end, 0);
+            if (*end || len < 1 || len > 2) {
+                fprintf(stderr, "Unsupported sample format: %s\nSupported: u8, 
s16, f32, f64\n", argv[3]);
+                return 1;
+            }
+        }
+    }
+
+    if (argc < 3) {
+        printf("tiny_psysnr <file1> <file2> [<elem size>|u8|s16|f32|f64 
[<shift> [<skip bytes> [<shift search range>]]]]\n");
+        printf("WAV headers are skipped automatically.\n");
+        return 1;
+    }
+
+    f[0] = fopen(argv[1], "rb");
+    f[1] = fopen(argv[2], "rb");
+    if (!f[0] || !f[1]) {
+        fprintf(stderr, "Could not open input files.\n");
+        return 1;
+    }
+
+    for (shift = shift_first; shift <= shift_last; shift++) {
+        int psnr = run_psnr(f, len, shift, skip_bytes);
+        if (psnr > max_psnr || (shift < 0 && psnr == max_psnr)) {
+            max_psnr = psnr;
+            max_psnr_shift = shift;
+        }
+    }
+    if (shift_last > shift_first)
+        printf("Best PSNR is %3d.%02d for shift %i\n", (int)(max_psnr / F), 
(int)(max_psnr % F), max_psnr_shift);
+    return 0;
+}
-- 
1.9.1

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